What is the Greatest Common Factor of 47382 and 47399?

Greatest common factor (GCF) of 47382 and 47399 is 1.

GCF(47382,47399) = 1

We will now calculate the prime factors of 47382 and 47399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47382 and 47399.

How to find the GCF of 47382 and 47399?

We will first find the prime factorization of 47382 and 47399. After we will calculate the factors of 47382 and 47399 and find the biggest common factor number .

Step-1: Prime Factorization of 47382

Prime factors of 47382 are 2, 3, 53, 149. Prime factorization of 47382 in exponential form is:

47382 = 2¹ × 3¹ × 53¹ × 149¹

Step-2: Prime Factorization of 47399

Prime factors of 47399 are 11, 31, 139. Prime factorization of 47399 in exponential form is:

47399 = 11¹ × 31¹ × 139¹

Step-3: Factors of 47382

List of positive integer factors of 47382 that divides 47382 without a remainder.

1, 2, 3, 6, 53, 106, 149, 159, 298, 318, 447, 894, 7897, 15794, 23691

Step-4: Factors of 47399

List of positive integer factors of 47399 that divides 47382 without a remainder.

1, 11, 31, 139, 341, 1529, 4309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47382 and 47399. The biggest common factor number is the GCF number.
So the greatest common factor 47382 and 47399 is 1.

Also check out the Least Common Multiple of 47382 and 47399